Question Text
Question 1 :
The value of $a$ for which the area between the curves ${y^2} = 4ax$ and ${x^2} = 4ay$ is $1\,sq.\,unit$, is-
Question 2 :
The area bounded by the curve $y = f\left( x \right)$, above the $x$-axis, between $x = a$ and $x = b$ is:
Question 3 :
The area of the region bounded by the curve $x={ y }^{ 2 }-2$ and $x=y$ is
Question 4 :
If area bounded by the curves $x=at^2$ and $y=ax^2$ is $1$, then a$=$ __________.
Question 5 :
The area of the portion of the circle ${ x }^{ 2 }+{ y }^{ 2 }=1$, which lies inside the parabola ${ y }^{ 2 }=1-x$, is
Question 6 :
The area enclosed between the curve $\displaystyle y=1+{ x }^{ 2 }$, the y-axis and the straight line $\displaystyle y=5$ is given by
Question 7 :
The area bounded by $ \displaystyle y=\frac{3x^{2}}{4} $ and the line $ \displaystyle 3x-2y+12=0 $ is:<br/>
Question 8 :
The area bounded by the parabolas $y=4x^2,\,y=\dfrac{x^2}{9}$ and line $y=2$ is
Question 9 :
The area bounded by curve $y=x^{2}-1$ and tangents to it at $(2,3)$ and $y-$axis is
Question 10 :
The area enclosed between the parabolas $y^{2} = 16x$ and $x^{2} = 16y$ is
Question 11 :
The parabola $y=\dfrac{x^2}{2}$ divides the circle $x^2+y^2=8$ into two parts. Find the area of both parts.